A Constrained Conjugate Cyclic Adaptive Beamforming Algorithm with Symmetric Uniform Linear Array

A conjugate cyclic adaptive beamforming algorithm is proposed with the conjugate symmetric constraint. By using the symmetric structure of uniform linear array, it can be first proved that the conjugate cyclic correlation matrix is centro-Hermitian matrix, and the weight vector of the linearly constrained conjugate cyclic adaptive beamformer has a conjugate symmetric structure which is particular to conjugate cyclostationary signal. Then, the conjugate symmetric constraint for weight vector is added to the original algorithm, and the weight vector is derived from the proposed algorithm by recursive least squares. Compared to the traditional algorithms, the proposed method can achieve a higher steady state output SINR and a faster convergence speed. Moreover, in our method, the number of variables in the update equation are reduced effectively by half, which leads to significantly improve the overall performance. Simulation results demonstrate the effectiveness of the proposed method.